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Finding the Fourth Proportional to 96,565.30, 144,847.95 and 68,571.70

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Solution

The fourth proportional to 96,565.30, 144,847.95 and 68,571.70 is: 102,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,565.30 : 144,847.95 = 68,571.70 : x
  2. Step 2: Convert to fraction form
    96,565.30/144,847.95 = 68,571.70/x
  3. Step 3: Cross multiply
    96,565.30x = 144,847.95 × 68,571.70
  4. Step 4: Simplify right side
    96,565.30x = 9,932,470,173.02
  5. Step 5: Solve for x
    x = 9,932,470,173.02/96,565.30
  6. Step 6: Final answer
    x = 102,857.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.